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Original Articles

Comparison of Accuracy and Efficiency between the Lattice Boltzmann Method and the Finite Difference Method in Viscous/Thermal Fluid Flows

Pages 333-345 | Received 29 Aug 2002, Accepted 10 Apr 2003, Published online: 15 Aug 2006

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Subhash C. Mishra, Snehasish Panigrahy & Viswajit J. Ghatage. (2016) Analysis of combined mode heat transfer in a porous medium using the lattice Boltzmann method. Numerical Heat Transfer, Part A: Applications 69:10, pages 1092-1105.
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Hasan Nemati, Kurosh Sedighi, Mousa Farhadi, Mohammad Mohammadi Pirouz & Ehsan Fattahi. (2010) Numerical simulation of fluid flow of two rotating side-by-side circular cylinders by Lattice Boltzmann method. International Journal of Computational Fluid Dynamics 24:3-4, pages 83-94.
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Articles from other publishers (24)

Pavel Eichler, Radek Galabov, Radek Fučík, Kateřina Škardová, Tomáš Oberhuber, Petr Pauš, Jaroslav Tintěra & Radomír Chabiniok. (2023) Non-Newtonian turbulent flow through aortic phantom: Experimental and computational study using magnetic resonance imaging and lattice Boltzmann method. Computers & Mathematics with Applications 136, pages 80-94.
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Ashkan Ajrian, Mohammad Ebadi, Ebrahim Biniaz Delijani & Dmitry Koroteev. (2023) SERIAL AND DIFFERENT PARALLEL IMPLEMENTATIONS OF LATTICE BOLTZMANN METHOD IN PYTHON: A COMPARATIVE ANALYSIS. Computational Thermal Sciences: An International Journal 15:5, pages 55-70.
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Riheb Mabrouk, Hassane Naji, Ali Cemal Benim & Hacen Dhahri. (2022) A State of the Art Review on Sensible and Latent Heat Thermal Energy Storage Processes in Porous Media: Mesoscopic Simulation. Applied Sciences 12:14, pages 6995.
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Yan-Yan Feng, Cun-Hai Wang, Yong Xiang & Xin-Xin Zhang. (2022) Internal thermal source effects on convection heat transfer in a two-dimensional porous medium: A lattice Boltzmann study. International Journal of Thermal Sciences 173, pages 107416.
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Suqiong Xie, Kentaro Yaji, Toru Takahashi, Hiroshi Isakari, Masato Yoshino & Toshiro Matsumoto. (2021) Topology optimization for incompressible viscous fluid flow using the lattice kinetic scheme. Computers & Mathematics with Applications 97, pages 251-266.
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Arman Nokhosteen & Sarvenaz Sobhansarbandi. (2021) Utilizing lattice Boltzmann method for heat transfer analysis in solar thermal systems: A review. Sustainable Energy Technologies and Assessments 46, pages 101264.
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Karl-Robert Wichmann, Martin Kronbichler, Rainald Löhner & Wolfgang A Wall. (2021) A runtime based comparison of highly tuned lattice Boltzmann and finite difference solvers. The International Journal of High Performance Computing Applications 35:4, pages 370-390.
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Yi Zhu, Fang-Bao Tian, John Young, James C. Liao & Joseph C. S. Lai. (2021) A numerical study of fish adaption behaviors in complex environments with a deep reinforcement learning and immersed boundary–lattice Boltzmann method. Scientific Reports 11:1.
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Jae Wan Shim. (2021) Minimal number of discrete velocities for a flow description and internal structural evolution of a shock wave. International Journal of Non-Linear Mechanics 128, pages 103633.
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Truong Nguyen, Hiroshi Isakari, Toru Takahashi, Kentaro Yaji, Masato Yoshino & Toshiro Matsumoto. (2020) Level-set based topology optimization of transient flow using lattice Boltzmann method considering an oscillating flow condition. Computers & Mathematics with Applications 80:1, pages 82-108.
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Samuel Fagbemi, Pejman Tahmasebi & Mohammad Piri. (2019) Numerical modeling of strongly coupled microscale multiphase flow and solid deformation. International Journal for Numerical and Analytical Methods in Geomechanics 44:2, pages 161-182.
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Saurabh Bhardwaj, Ralf Euser, Alexander Stadik, Ernesto Monaco, Vikas Kumar Sharma & Ravi Kanth Borra. High Accurate Heat Transfer Tasks on Example of Body in White Drying Process in Paint Shop. High Accurate Heat Transfer Tasks on Example of Body in White Drying Process in Paint Shop.
Yuan Pang & Peiwen Hao. (2017) A review of water transport in dense-graded asphalt mixtures. Construction and Building Materials 156, pages 1005-1018.
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H. Kruggel-Emden, B. Kravets, M.K. Suryanarayana & R. Jasevicius. (2016) Direct numerical simulation of coupled fluid flow and heat transfer for single particles and particle packings by a LBM-approach. Powder Technology 294, pages 236-251.
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Subhash C. Mishra, N. Gullipalli, A. Jain, A. Barurah & A. Mukherjee. (2016) Analysis of hyperbolic heat conduction in 1-D planar, cylindrical, and spherical geometry using the lattice Boltzmann method. International Communications in Heat and Mass Transfer 74, pages 48-54.
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D. Arumuga Perumal & Anoop K. Dass. (2015) A Review on the development of lattice Boltzmann computation of macro fluid flows and heat transfer. Alexandria Engineering Journal 54:4, pages 955-971.
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Mohammad Reza Salimi, Mohammad Taeibi Rahni & Freydun Jam. (2015) Pore-scale simulation of fluid flow passing over a porously covered square cylinder located at the middle of a channel, using a hybrid MRT-LBM–FVM approach. Theoretical and Computational Fluid Dynamics 29:3, pages 171-191.
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M.R. Salimi, M. Taeibi-Rahni & F. Jam. (2015) Heat transfer analysis of a porously covered heated square cylinder, using a hybrid Navier–Stokes–lattice Boltzmann numerical method. International Journal of Thermal Sciences 91, pages 59-75.
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Yong Peng, Jian Guo Zhou & Jian Min Zhang. (2015) Mixed numerical method for bed evolution. Proceedings of the Institution of Civil Engineers - Water Management 168:1, pages 3-15.
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H.B. Luan, H. Xu, L. Chen, Y.L. Feng, Y.L. He & W.Q. Tao. (2011) Coupling of finite volume method and thermal lattice Boltzmann method and its application to natural convection. International Journal for Numerical Methods in Fluids 70:2, pages 200-221.
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Hui-Bao Luan, Hui Xu, Li Chen, Dong-Liang Sun, Ya-Ling He & Wen-Quan Tao. (2011) Evaluation of the coupling scheme of FVM and LBM for fluid flows around complex geometries. International Journal of Heat and Mass Transfer 54:9-10, pages 1975-1985.
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Junfeng Zhang. (2010) Lattice Boltzmann method for microfluidics: models and applications. Microfluidics and Nanofluidics 10:1, pages 1-28.
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Tongqing Chen, Qinghe Zhang & Liang Cheng. (2010) Performance investigation of 2D lattice Boltzmann simulation of forces on a circular cylinder. Transactions of Tianjin University 16:6, pages 417-423.
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Qicheng Sun & Stefan Hutzler. (2005) Studying localized bubble rearrangements in 2D liquid foams using a hybrid lattice gas model. Colloids and Surfaces A: Physicochemical and Engineering Aspects 263:1-3, pages 27-32.
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